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Finding the Fourth Proportional to 298,434.32, 411,878.72 and 171,085.28

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Solution

The fourth proportional to 298,434.32, 411,878.72 and 171,085.28 is: 236,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,434.32 : 411,878.72 = 171,085.28 : x
  2. Step 2: Convert to fraction form
    298,434.32/411,878.72 = 171,085.28/x
  3. Step 3: Cross multiply
    298,434.32x = 411,878.72 × 171,085.28
  4. Step 4: Simplify right side
    298,434.32x = 70,466,386,137.24
  5. Step 5: Solve for x
    x = 70,466,386,137.24/298,434.32
  6. Step 6: Final answer
    x = 236,120.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.